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Finding the Fourth Proportional to 9,409.59, 12,985.16 and 5,160.53

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Solution

The fourth proportional to 9,409.59, 12,985.16 and 5,160.53 is: 7,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.59 : 12,985.16 = 5,160.53 : x
  2. Step 2: Convert to fraction form
    9,409.59/12,985.16 = 5,160.53/x
  3. Step 3: Cross multiply
    9,409.59x = 12,985.16 × 5,160.53
  4. Step 4: Simplify right side
    9,409.59x = 67,010,217.01
  5. Step 5: Solve for x
    x = 67,010,217.01/9,409.59
  6. Step 6: Final answer
    x = 7,121.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.